Question: A single discount equivalent to a discount series of 30%, 20% and 10% is
Options:
A) 50.4%
B) 49.6%
C) 49.4%
D) 51%
Show Answer
Answer:
Correct Answer: B
Solution:
- Let Rs. 100 be amount on which the given discount to be applied.
Then, 30% discount on
$ 100=\frac{(100-30)}{100}\times 100=70 $
Now, 20% discount on $ 70=\frac{(100-20)}{100}\times 70 $
$ =\frac{80}{100}\times 70=56 $
Again, 10% discount on $ 56=\frac{100-10}{100}\times 56 $
$ =\frac{90}{100}\times 56=9\times 5.6=50.4 $
$ \therefore $ Single discount $ =100-50.4=49.6 $ %